Abstract

CARDONA, DUVÁN. Weak-type (1,1) bounds for a class of operators with discrete kernel. Integración - UIS [online]. 2015, vol.33, n.1, pp.51-60. ISSN 0120-419X.

In this paper we investigate the weak continuity of a certain class of operators with kernel defined on ℤ × ℤ. We prove some results on the weak boundedness of discrete analogues of Calderón-Zygmund operators. The considered operators arise from the study of discrete pseudo-differential operators and discrete analogues of singular integral operators

Keywords : L^p spaces; discrete operator; pseudo-differential operator; Calderón-Zygmund decomposition.

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